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ABC is an acute angled triangle with cir...

ABC is an acute angled triangle with circumcenter O and orthocentre H. If AO=AH, then find the angle A.

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given OA = HA
`rArr R = 2R cos A`
`rArr cos A =(1)/(2)`
`rArr A = (pi)/(3)`
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